# How do you identity if the equation #9x^2+4y^2-36=0# is a parabola, circle, ellipse, or hyperbola and how do you graph it?

##### 1 Answer

Jan 9, 2017

#### Answer:

This is the equation of an ellipse.

See the graph below

#### Explanation:

We can do the discriminant test

Discriminant,

Here,

As

Let's rearrange the equation

Divide throughly by

We can compare this to

The vertices are

graph{(x^2/4)+(y^2/9)=1 [-8.89, 8.89, -4.444, 4.44]}